206797440 has 256 divisors, whose sum is σ = 703261440. Its totient is φ = 51609600.

The previous prime is 206797433. The next prime is 206797471. The reversal of 206797440 is 44797602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2912605 + ... + 2912675.

It is an arithmetic number, because the mean of its divisors is an integer number (2747115).

Almost surely, 2^206797440 is an apocalyptic number.

206797440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351630720).

206797440 is an abundant number, since it is smaller than the sum of its proper divisors (496464000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206797440 is a wasteful number, since it uses less digits than its factorization.

206797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 206797440 is about 14380.4534003626. The cubic root of 206797440 is about 591.3551537008.

The spelling of 206797440 in words is "two hundred six million, seven hundred ninety-seven thousand, four hundred forty".